diff --git a/flang/lib/Semantics/check-omp-structure.h b/flang/lib/Semantics/check-omp-structure.h
--- a/flang/lib/Semantics/check-omp-structure.h
+++ b/flang/lib/Semantics/check-omp-structure.h
@@ -162,8 +162,9 @@
   void Enter(const parser::OmpReductionClause &);
   void Enter(const parser::OmpScheduleClause &);
 
-private:
+  void CheckObjectListStructure(const parser::OmpObjectList &objList);
 
+private:
   bool HasInvalidWorksharingNesting(
       const parser::CharBlock &, const OmpDirectiveSet &);
 
diff --git a/flang/lib/Semantics/check-omp-structure.cpp b/flang/lib/Semantics/check-omp-structure.cpp
--- a/flang/lib/Semantics/check-omp-structure.cpp
+++ b/flang/lib/Semantics/check-omp-structure.cpp
@@ -407,15 +407,39 @@
   CheckAllowed(llvm::omp::Clause::OMPC_priority);
   RequiresPositiveParameter(llvm::omp::Clause::OMPC_priority, x.v);
 }
-void OmpStructureChecker::Enter(const parser::OmpClause::Private &) {
+void OmpStructureChecker::Enter(const parser::OmpClause::Private &x) {
   CheckAllowed(llvm::omp::Clause::OMPC_private);
+  CheckObjectListStructure(x.v);
 }
 void OmpStructureChecker::Enter(const parser::OmpClause::Safelen &x) {
   CheckAllowed(llvm::omp::Clause::OMPC_safelen);
   RequiresConstantPositiveParameter(llvm::omp::Clause::OMPC_safelen, x.v);
 }
-void OmpStructureChecker::Enter(const parser::OmpClause::Shared &) {
+void OmpStructureChecker::Enter(const parser::OmpClause::Shared &x) {
   CheckAllowed(llvm::omp::Clause::OMPC_shared);
+  CheckObjectListStructure(x.v);
+}
+void OmpStructureChecker::CheckObjectListStructure(
+    const parser::OmpObjectList &objList) {
+
+  for (const auto &ompObject : objList.v) {
+    std::visit(
+        common::visitors{
+            [&](const parser::Designator &designator) {
+              if (std::get_if<parser::DataRef>(&designator.u)) {
+                if ((parser::Unwrap<parser::StructureComponent>(ompObject)) ||
+                    (parser::Unwrap<parser::ArrayElement>(ompObject))) {
+                  context_.Say(GetContext().clauseSource,
+                      "A variable that is part of another variable (as an "
+                      "array or structure element)"
+                      " cannot appear in a private or shared clause."_err_en_US);
+                }
+              }
+            },
+            [&](const parser::Name &name) {},
+        },
+        ompObject.u);
+  }
 }
 void OmpStructureChecker::Enter(const parser::OmpClause::Simdlen &x) {
   CheckAllowed(llvm::omp::Clause::OMPC_simdlen);
diff --git a/flang/test/Semantics/omp-parallel-private.f90 b/flang/test/Semantics/omp-parallel-private.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-private.f90
@@ -0,0 +1,20 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.3 parallel private Clause
+program omp_parallel_private
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+    integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel private(my_var%array)
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    my_var%array(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_private
diff --git a/flang/test/Semantics/omp-parallel-private02.f90 b/flang/test/Semantics/omp-parallel-private02.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-private02.f90
@@ -0,0 +1,20 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.3 parallel private Clause
+program omp_parallel_private
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  integer :: array(10)
+
+  do i = 1, 10
+    array(i) = i
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel private(array(i))
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    array(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_private
diff --git a/flang/test/Semantics/omp-parallel-private03.f90 b/flang/test/Semantics/omp-parallel-private03.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-private03.f90
@@ -0,0 +1,28 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.3 parallel private Clause
+program omp_parallel_private
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+    integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  real :: arr(10)
+  integer :: intx = 10
+
+  do i = 1, 10
+    arr(i) = 0.0
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel private(arr(i),intx)
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    my_var%array(i) = k+intx
+    arr(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_private
diff --git a/flang/test/Semantics/omp-parallel-private04.f90 b/flang/test/Semantics/omp-parallel-private04.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-private04.f90
@@ -0,0 +1,28 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.3 parallel private Clause
+program omp_parallel_private
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+    integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  real :: arr(10)
+  integer :: intx = 10
+
+  do i = 1, 10
+    arr(i) = 0.0
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel private(arr,intx,my_var%array(1))
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    my_var%array(i) = k+intx
+    arr(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_private
diff --git a/flang/test/Semantics/omp-parallel-shared.f90 b/flang/test/Semantics/omp-parallel-shared.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-shared.f90
@@ -0,0 +1,20 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.2 parallel shared Clause
+program omp_parallel_shared
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+  integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel shared(my_var%array)
+  do i = 1, 10
+    c(i) = a(i) + b(i) +  k
+    my_var%array(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_shared
diff --git a/flang/test/Semantics/omp-parallel-shared02.f90 b/flang/test/Semantics/omp-parallel-shared02.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-shared02.f90
@@ -0,0 +1,20 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.2 parallel shared Clause
+program omp_parallel_shared
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  integer :: array(10)
+
+  do i = 1, 10
+    array(i) = i
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel shared(array(i))
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    array(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_shared
diff --git a/flang/test/Semantics/omp-parallel-shared03.f90 b/flang/test/Semantics/omp-parallel-shared03.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-shared03.f90
@@ -0,0 +1,28 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.2 parallel shared Clause
+program omp_parallel_shared
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+    integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  real :: arr(10)
+  integer :: intx = 10
+
+  do i = 1, 10
+    arr(i) = 0.0
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel shared(arr(i),intx)
+  do i = 1, 10
+     c(i) = a(i) + b(i) + k
+     my_var%array(i) = k+intx
+     arr(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_shared
diff --git a/flang/test/Semantics/omp-parallel-shared04.f90 b/flang/test/Semantics/omp-parallel-shared04.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Semantics/omp-parallel-shared04.f90
@@ -0,0 +1,28 @@
+!RUN: %S/test_errors.sh %s %t %f18 -fopenmp
+! OpenMP Version 4.5
+! 2.15.3.2 parallel shared Clause
+program omp_parallel_shared
+  integer :: i, j, a(10), b(10), c(10)
+  integer :: k = 10
+  type my_type
+    integer :: array(10)
+  end type my_type
+
+  type(my_type) :: my_var
+
+  real :: arr(10)
+  integer :: intx = 10
+
+  do i = 1, 10
+    arr(i) = 0.0
+  end do
+
+  !ERROR: A variable that is part of another variable (as an array or structure element) cannot appear in a private or shared clause.
+  !$omp parallel shared(arr,intx,my_var%array(1))
+  do i = 1, 10
+    c(i) = a(i) + b(i) + k
+    my_var%array(i) = k+intx
+    arr(i) = k
+  end do
+  !$omp end parallel
+end program omp_parallel_shared